In addition, through modifications, we show that the scheme can easily represent objects with singularities, such as cusps, creases, or corners.
The hyperbolic nature of the equation allows discontinuities of slope to develop which are seen numerically and experimentally as cusps in the surface of the etched material.
Molecular surface (MS) contains non-smooth geometric singularities, such as cusps, tips and self-intersecting facets, which often lead to computational instabilities in molecular simulations, and violate the physical principle of surface free energy minimization.
Pilot studies using various resolutions were undertaken to find a middle resolution that was not so low as few of the major features were not present (such as cusps and crests), but not so high as to either give greater emphasis to very small features or to slow down scan processing.
For example, as cusps reduced in height, the 'teardrop' nature of the masticatory pattern becomes wider [ 4] with associated 're-modelling' and flattening of the glenoid fossa [ 18].
In reference [ 35] these dips were interpreted as cusps due to the competition between DEA and vibrational excitation of ν(OH) up to ν=4.
A 3D geometric analysis showed that offset placement failed to reduce tensile force, which could rather be reduced by the decrease in inclination of the cusp as well as by wide implants (>5 mm) [24].
The changes in the plasma regime while in the cusp, as well as "step-like" energy-latitude dispersions in the ion observations suggest that reconnection is pulsed at the magnetopause, and not steady.
From Lockheed photographs of the CFR, it shows similarities to a magnetic configuration known as a cusp geometry, perhaps one known as a "picket fence".
Twenty-two stares are on board and have authorized community colleges to offer bachelor's degrees in specified technical degree areas such as manufacturing, nursing and automotive technology, with California (the largest community college system in the U.S). and Maryland on the cusp as well.
